Delay-Dependent and Order-Dependent Guaranteed Cost Control for Uncertain Fractional-Order Delayed Linear Systems
Fei Qi, Yi Chai, Liping Chen, J. A. Tenreiro Machado
Abstract
This paper addresses the guaranteed cost control problem of a class of uncertain fractional-order (FO) delayed linear systems with norm-bounded time-varying parametric uncertainty. The study is focused on the design of state feedback controllers with delay such that the resulting closed-loop system is asymptotically stable and an adequate level of performance is also guaranteed. Stemming from the linear matrix inequality (LMI) approach and the FO Razumikhin theorem, a delay- and order-dependent design method is proposed with guaranteed closed-loop stability and cost for admissible uncertainties. Examples illustrate the effectiveness of the proposed method.
Topics & Concepts
Control theory (sociology)Linear matrix inequalityParametric statisticsMathematicsStability theoryBounded functionNorm (philosophy)Stability (learning theory)Mathematical optimizationClass (philosophy)Order (exchange)Control (management)Computer scienceNonlinear systemEconomicsMathematical analysisFinanceMachine learningPolitical scienceStatisticsQuantum mechanicsPhysicsArtificial intelligenceLawStability and Control of Uncertain SystemsAdvanced Control Systems DesignNeural Networks Stability and Synchronization